id stringlengths 3 7 | question stringlengths 17 3.29k | answer stringlengths 0 521 | answer_type stringclasses 11
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|---|---|---|---|---|---|
235397 | What is the electric field {eq}E
{/eq} at the point {eq}P(1,\ 2,\ -1)
{/eq} if the potential is given by {eq}\displaystyle V (x,\ y,\ z) = x^4 y - 3y^2 z + 5 z^3
{/eq}?
A. {eq}2.0 i + 12.0 j -5.0 k\ V/m
{/eq}.
B. {eq}8.0 i + 13.0 j + 3.0 k\ V/m
{/eq}.
C. {eq}2.3i + 3.2 j - 4.0 k\ V/m
{/eq}.
D. {eq}8.0 i - 11.... | D | Multiple Choice | Physics | University |
1943475 | Calculate the work done as you walk up a hill on a road at a constant speed. The angle of incline of the road is {eq}\theta =5.4{}^\circ
{/eq} and the distance that you walk is {eq}D=313\text{ m}
{/eq}. Your mass is {eq}M=73\text{ kg}
{/eq}. Write your answer in kJ. | 21.06 kJ | Float | Physics | Senior High School |
1679723 | A person is stretching by putting their arms straight over their heads and bending forward at their ankles until their hands are pushing against the wall in front of them. As they stretch, they keep stepping back from the wall, leaning further forward. The coefficient of static friction between their hands and the wall... | 21.80 degrees | Float | Physics | University |
902170 | How to calculate Young's Modulus of a beam, made of the material that is not known? | E=\dfrac {F L^3}{4bd^3\times \delta x} | Expression | Physics | Senior High School |
967782 | A particle with a charge of 1 C experiences a force F{eq}_B
{/eq} in a magnetic field. A second particle follows it at the same velocity. If the second particle has a charge of -2 C, what force does it experience? | 2F_B | Expression | Physics | Senior High School |
1203315 | A particle travels along a straight line with a constant acceleration. When s = 4 ft, v = 3 ft/s and when s = 10 ft, v = 8 ft/s. Determine the velocity as a function of position. Express your answer in terms of s, where s is in feet. Express the coefficients using three significant figures. | v = √(9.17s - 7) | Expression | Physics | Senior High School |
965184 | A circular loop of wire sits in the xy-plane, centered on the origin. A bar magnet sits above the loop on the z-axis with its south pole pointing in the -z direction. If the magnet is moved away from the loop along the z-axis, what direction will the current induced in the loop run?
a. clockwise when viewed from above... | b | Multiple Choice | Physics | Senior High School |
1135205 | Monochromatic light falling on two slits 0.016 mm apart produces the fifth-order bright fringe at an 8.9 ° angle. What is the wavelength of the light used? | 495.07 nm | Float | Physics | Senior High School |
513722 | How many calories must be supplied to 59 g of ice at -6 degrees C to melt it and raise the temperature of the water to 61 degrees C? The specific heat of ice is 0.49 kcal/kg{eq}\cdot
{/eq}K and of water is 1 kcal/kg{eq}\cdot
{/eq}K; the heat of fusion of water is 79.7 kcal/kg, and its heat of vaporization is 418 kcal... | 8.49 kcal | Float | Physics | Senior High School |
160813 | The time it takes for 50% of an unstable isotope to decay to a stable form is called the | half-life | String | Physics | Senior High School |
1419897 | Consider a simple cubic crystal of identical atoms of diameter 0.32 nm (nanometers). What is the diameter, in nm, of an interstitial impurity that would fit exactly between the host atoms, achieving a coordination number of 8? In other words, the impurity fits exactly in the middle of the simple cubic unit cell and is ... | 0.234 nm | Float | Physics | Senior High School |
1100966 | The current in a solenoid of 240 turns, having a length of 12 cm and a radius of 2 cm, changes at a rate of 0.8 A/s. Find the emf induced in it. | 6.064e-4 V | Float | Physics | Senior High School |
879182 | A 10-meter long line of positive charge is formed from 1.00 c of charge. Use the approximation that the line charge infinite compared to the distance away and calculate the electric field 1.0 cm at the center of the line-charge. | 1.80e11 N/C | Float | Physics | University |
218766 | If 2.4 J of work are needed to stretch a spring from 16 cm to 20 cm and 4 J are needed to stretch it from 20 cm to 24 cm, what is the natural length of the spring? | 12 cm | Integer | Physics | Senior High School |
1019441 | A street light is attached to the top of a pole. The pole is 15 feet tall. A 6-foot tall man walks along a straight path away from this pole at a speed of 6 ft/s. When he is 40 feet from the pole, how fast is the tip of his shadow moving? | 10 ft/s | Integer | Physics | Senior High School |
1139145 | A spherical shell of inner radius {eq}a
{/eq} and outer radius {eq}b
{/eq} is made of an insulating material with charge distributed throughout its volume such that {eq}\rho (r) = \rho_0 r
{/eq} inside the shell. Find the electric field in all regions of the spherical shell. | E=0 for r<a; E=(ρ_0/(ε_0 r^2))((r^4/4)-(a^4/4)) for a<r<b; E=(ρ_0/(r^2 ε_0))((b^4/4)-(a^4/4)) for r>b | Expression | Physics | University |
990405 | An object with a mass of #3 kg# is hanging from an axle with a radius of #16 cm#. If the wheel attached to the axle has a radius of #2 cm#, how much force must be applied to the wheel to keep the object from falling? | 235.2N | Float | Physics | Senior High School |
554807 | Seals may cool themselves by using thermal windows, patches on their bodies with much higher than average surface temperature. Suppose a seal has a 0.030 m2 thermal window at a temperature of 30 degrees Celsius. If the seal's surroundings are a frosty -10 degrees Celsius, what is the net rate of energy loss by radiatio... | 6.0 W | Float | Physics | Senior High School |
1732922 | A researcher is measuring changes in the density of the upper atmosphere over time. Which units should be used for the density measurements? | lbm/ft³ or psi/ft | List | Physics | Senior High School |
440324 | A plank of wood with a density of ?w = 650 kg/m3 and volume V = 0.65 m3 is floating in the ocean. (Assume the density of saltwater is ?s = 1100 kg/m3) What is the volume of the block that is submerged?
A) 0.23 m3
B) 0.38 m3
C) 0.42 m3
D) 0.51 m3
E) 0.56 m3 | B | Multiple Choice | Physics | Senior High School |
842946 | In really stormy weather and with the right conditions, the sky would dump a bunch of hail, making the roads rather hazardous. A choir director was driving his car in these conditions and going a tad fast under the circumstances. His car began to slip on the balls of ice in the road towards two music students walking i... | Vs = 343 m/s - (523 Hz/554 Hz)(343 m/s + Vo) | Expression | Physics | Senior High School |
633853 | A clock mechanism at rest has a period of exactly 1 second. When this clock is observed while moving with a speed of {eq}\displaystyle 0.66c,
{/eq} what is its period? | 1.33 | Float | Physics | University |
738537 | Starting from rest, a 98-kg firefighter slides down a fire pole. The average frictional force everted on him by the pole has a magnitude of 720 N, and his speed at the bottom of the pole is 3.8 m/s. How far did he slide down the pole? | 2.94 m | Float | Physics | Senior High School |
133593 | A man with mass of 57 kg stands at the left end of a uniform boat with mass 179 kg and length 3.1 m. Let the origin of our coordinate system be the man's original location. Assume there is not friction or drag between the boat and water. After the man walks to the right edge of the boat, what is the new location of the... | 0.8 m | Float | Physics | Senior High School |
55793 | A daredevil on a motorcycle leaves the end of a ramp with a speed of 35.5 m/s. If his speed is 34.0 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance. | 5.32 m | Float | Physics | Senior High School |
999889 | Assuming that the smallest measurable wavelength in an experiment is 0.330 fm (femtometers), what is the maximum mass of an object traveling at 157 ms{eq}^{-1}
{/eq} for which the de Broglie wavelength is observable? | 0.128e-19 kg | Float | Physics | University |
146097 | An oil drop is stationary within an electric field of 490 V/m that is set up between two parallel plates. If the volume of the oil drop is {eq}4 \times 10^{-19}\ m^3
{/eq}, how many excess electrons does it carry? | 40 | Integer | Physics | Senior High School |
1626695 | A toy gun launches a small plastic sphere using a spring. The spring has a spring constant of {eq}20\, J/M^2
{/eq} and the plastic sphere has a mass of {eq}25
{/eq} grams. Before launch initial {eq}x
{/eq} is {eq}-10\,cm
{/eq} initial velocity is {eq}0\, m/s
{/eq}, After launch final {eq}x
{/eq} is {eq}0\, c... | vf=2.83 m/s | Float | Physics | Senior High School |
1511981 | A centrifuge accelerates uniformly from rest to 13,000 rpm in 190 seconds . Through how many revolutions did it turn in this time? | 20583 | Integer | Physics | Senior High School |
410312 | A negatively charged ion moves due north with a speed of 2.2 x 10{eq}^{6}
{/eq} m/s at the Earth's equator. What is the magnetic force exerted on this ion? | 0 N | Float | Physics | Senior High School |
2102523 | The sum of two vectors for example $\vec{P}$ and $\vec{Q}$ are taken as $\vec{P}+\vec{Q}$ but when we take the resultant of two non parallel forces $\vec{P}$ and $\vec{Q}$, we take it as $$R^2 =P^2+ Q^2+ 2PQ \cos \theta$$ Why is that? Why can't we take the resultant of the two forces in the same manner we do in Vectors... | R = √(P^2+Q^2+2 P Q cosθ) | Expression | Physics | Senior High School |
1234523 | A point charge of +12.0 {eq}\mu
{/eq}C experiences an attractive force of 51 mN when it is placed 15 cm from another point charge.
What is the other charge? | 1.06e-8 C | Float | Physics | Senior High School |
1962151 | A block weighing #4 kg# is on a plane with an incline of #(pi)/2# and friction coefficient of #1#. How much force, if any, is necessary to keep the block from sliding down? | 39.24 N | Float | Physics | Senior High School |
1998341 | The number of vacancies in some hypothetical metal increases by a factor of 5 when the temperature is increased from 1010 K to 1140 K.
Calculate the energy (in kJ/mol) for vacancy formation assuming that the density of the metal remains the same over this temperature range.
The tolerance is {eq}\pm{/eq}2% | 118513.308 J/mol | Float | Physics | University |
760312 | The Deligne Dam on the Cayley River is build so that the wall facing the water is shaped like the region above the curve {eq}y = 0.3x^2
{/eq} and below the line {eq}y = 120
{/eq}. The water level is 30 meters below the top of the dam. Find the force exerted on the dam by water pressure. | 732913967.3 N | Float | Physics | University |
1371573 | A joggler throws an apple vertically upward just enough to reach the ceiling exactly 4 meters from the joggler's hand . What is the initial velocity of the apple ? | 8.85 m/s | Float | Physics | Senior High School |
640891 | An out-of-control truck with a mass of 5000 kg is traveling at 35.0 m/s when it starts descending a steep (15 degree) incline. The incline is icy, so the coefficient of friction is only 0.30. Use the work-energy theorem to determine how far the truck will skid (assuming it locks its brakes and skids the whole way) befo... | 2037.05 m | Float | Physics | Senior High School |
1532701 | While trying to solve the Poisson Equation by using Green's Function I have to Fourier transform the equation i.e $$-\nabla^{2}\phi(r)=\rho(r).$$ In the book after Fourier transform, the solution is written as $$k^{2}\phi(k)=\rho(k).$$ I can understand the expression in the right hand side, but why there is $k^{2}$ in ... | $k^2$ | Expression | Physics | University |
599656 | A sample of gas at 35degree Celsius and 1 atm occupies a volume of 37.5L. At what temp should the gas be kept, if it required to reduce the volume to 3.0 litre at the same pressure? | -248 degrees C | Integer | Physics | Senior High School |
20696 | What is the pressure (in kPa) if 795 mmHg of an ideal gas is increased in volume from 1.32 L to 4.00 L and the temperature is decreased from 45 degrees Celsius to 10 degrees Celsius? | 31 kPa | Integer | Physics | Senior High School |
279791 | A quantity of steam ( 450 g) at 115 {eq}^o
{/eq}C is condensed, and the resulting water is frozen into ice at 0 {eq}^o
{/eq}C. How much heat was removed? | 1369.773 kJ | Float | Physics | Senior High School |
1264463 | What is the derivative of the kinetic energy function? | mv | Expression | Physics | Senior High School |
465296 | A grocery bagger pushes a 5.00 kg bag of potatoes in such a way that the net external force on it is 60.0 N. Calculate its acceleration. ( in m/s{eq}^2
{/eq}) | 12 m/s^2 | Integer | Physics | Senior High School |
1839495 | A solenoid of length {eq}\displaystyle \rm 0.2 \ m
{/eq} and radius of {eq}\displaystyle \rm 0.04 \ m
{/eq}, has {eq}\displaystyle \rm 200 \ turns
{/eq} of tightly coiled wire. The solenoid is placed in a circuit with a {eq}\displaystyle \rm 200 \ \Omega
{/eq} resistor and a {eq}\displaystyle \rm 9 \ V \ DC
{/eq} ... | 57 μT | Float | Physics | University |
1688406 | A diverging lens (f{eq}_1
{/eq} = -10.5 cm) is located 53.0 cm to the left of a converging lens (f{eq}_2
{/eq} = 33.5 cm). A 2.5-cm-tall object stands to the left of the diverging lens, exactly at its focal point. Determine the distance of the final image relative to the converging lens. | 78.84 cm | Float | Physics | Senior High School |
775605 | An airplane makes a gradual 90.0 degree turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. For this turn, what is the magnitude of the average acceleration of the plane? | 15.7 m/s^2 | Float | Physics | Senior High School |
929787 | An electric toy car with a mass of #5 kg# is powered by a motor with a voltage of #3 V# and a current supply of #4 A#. How long will it take for the toy car to accelerate from rest to #2 m/s#? | 0.83s | Float | Physics | Senior High School |
1305292 | A charge of 7 pC is uniformly distributed throughout the volume between concentric spherical surfaces having radii of 1.6 cm and 3.6 cm. Let: {eq}ke = 8.98755\times 10^9\ N \cdot m^2/C^2
{/eq}. What is the magnitude of the electric field 2.6 cm from the center of the surfaces? Answer in units of N/C. | 29.2 N/C | Float | Physics | University |
876347 | The sun goes around the center of our galaxy once every 250 million years. The sun is also 2.55 x {eq}10^{20}
{/eq} m from the center of our galaxy.
What is the acceleration of our sun towards the center of the galaxy in {eq}m/s^2
{/eq}?
(Assume the sun's orbit is circular. There are 24 hours in a day and 365 days ... | 1.6e-10 m/s^2 | Float | Physics | Senior High School |
123340 | The volume of a gas at 155 kPa changes from 22.0 L to 10.0 L. What is the new pressure if the temperature remains constant? | 320*kPa | Integer | Physics | Senior High School |
495513 | A proton moves perpendicular to a uniform magnetic field B{eq}^{->}
{/eq} at a speed of {eq}1.00 \times 10^7
{/eq} m/s and undergoes an acceleration of {eq}2.00 \times 10^{13}
{/eq} m/s{eq}^2
{/eq} in the positive x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of... | 2.09e-2 T in negative y direction | Float | Physics | Senior High School |
1526244 | A baseball pitcher delivers a fastball that crosses the plate at an angle of {eq}6.59^o
{/eq} below the horizontal and a speed of 96.6 mph. The ball (of mass 0.149 kg) is hit back over the head of the pitcher at an angle of {eq}35.53^o
{/eq} above the horizontal and a speed of 103.4 mph.
What is the magnitude of t... | 28.8 kg.mi/h | Float | Physics | Senior High School |
123461 | A point charge {eq}+9q
{/eq} is located at the origin, and a point charge {eq}-8q
{/eq} is located on the x-axis at {eq}D = 0.975 \ m
{/eq}. At what location on the {eq}x
{/eq}-axis will a third charge, {eq}q_0
{/eq}, experience no net force from the other two charges? | 17.1 m | Float | Physics | Senior High School |
1137273 | A cubic meter of "natural gas" (mostly methane) at atmospheric pressure contains about 40 MJ of usable energy. How much natural gas (in m{eq}^3
{/eq}) would it take to power the dryer for 30 minutes? | 0.19 m^3 | Float | Physics | Senior High School |
1229437 | The pressure drop in fully developed pipe flow is sometimes computed with the aid of a friction factor, defined by
$$f = \frac{\Delta p}{\frac{1}{2} \rho V^{2}} \cdot \frac{D}{l}
$$
where {eq}V
{/eq} is the average velocity, {eq}D
{/eq} is the pipe diameter, and {eq}C
{/eq} is the length of pipe over which {eq}\D... | 64 | Integer | Physics | University |
960474 | A {eq}6.00- \mu C
{/eq} charge is moving with a speed of {eq}7.50 \times 10^4 \; m/s
{/eq} parallel to a very long, straight wire. The wire is 5.00 cm from the charge and carries a current of 67.0 A in a direction opposite to that of the moving charge. Find the magnitude and direction of the force of the charge. | 1.21e-4 N away from the wire | Float | Physics | University |
692544 | F={eq}ax+bt.t+c
{/eq} where F is force,x is distance and t is time. What is the dimension of {eq}axc/bt.t
{/eq}? | force | String | Physics | Senior High School |
1474199 | An electromagnetic wave has an electric field with peak value {eq}250 N/C
{/eq}. What is the average intensity of the wave? | 82.97 W/m^2 | Float | Physics | University |
368825 | A car battery has an emf of {eq}12.6\text{ V}
{/eq} and an internal resistance of {eq}0.0600\text{ }\Omega
{/eq}. The headlights together have an equivalent resistance of {eq}4.60\text{ }\Omega
{/eq}. What is the potential difference across the headlight bulbs when the starter motor is operated, with {eq}35.0\text{ ... | 10.34 V | Float | Physics | Senior High School |
1231906 | A sample of gas with an initial volume of 28.9 L at a pressure of 720 mmHg and a temperature of 306 K is compressed to a volume of 14.4 L and warmed to a temperature of 376 K. What is the final pressure of the gas? | 1775.55 mmHg | Float | Physics | Senior High School |
730828 | Three moles of nitrogen gas, N2, at 26.8 C are contained in a 35.8 L cylinder. Find the pressure the gas exerts on the cylinder walls. Answer in units of Pa | 2.09e5 Pa | Float | Physics | Senior High School |
1946145 | While driving in the mountains, you notice that when the freeway goes steeply downhill, there are emergency exits every few miles.These emergency exits are straight dirt ramps which leave the freeway and are sloped uphill. They are designed to stop trucks and cars that lose their brakes on the downhill stretches of the... | 17.4 m/s | Float | Physics | Senior High School |
1338116 | The cornea of the eye has a radius of curvature of approximately 0.500 cm, and the aqueous humor behind it has an index of refraction of 1.35. The thickness of the cornea itself is small enough that we shall neglect it. The depth of a typical human eye is around 25.0 mm.
What would have to be the radius of curvature o... | 6.48 mm | Float | Physics | University |
1795607 | A light plane attains an airspeed of 470 km/h. The pilot sets out for a destination 800 km to the north but discovers that the plane must be headed 30 east of north to fly there directly. The plane arrives in 2.083 h. What was the j-component of the wind velocity vector? | -23 km/h | Integer | Physics | Senior High School |
609187 | A bead of mass M can slide on a thin vertical rod, with a sliding friction coefficient between them = z. The rod is translated horizontally with a constant acceleration (a). For what value of (a) will an earth observer see equal horizontal and vertical components of the acceleration of the bead? | a = g/(1+z) | Expression | Physics | Senior High School |
1112363 | An object has a mass of #4 kg#. The object's kinetic energy uniformly changes from #128 KJ# to # 48 KJ# over #t in [0, 5 s]#. What is the average speed of the object? | 207.9ms^-1 | Float | Physics | Senior High School |
831485 | If a projectile is fired with velocity {eq}v_0
{/eq}vo at an angle {eq}\theta
{/eq}, then its range, the horizontal distance it travels (in ft), is modeled by the function
{eq}R(\theta )=\frac{v_0^2\sin(2\theta)} {32}
{/eq} If vo = 2600 ft/s, what angle (in degrees) should be chosen for the projectile to hit a tar... | 0.81 or 89.19 | List | Physics | Senior High School |
563736 | A train {eq}4.00 \times 10^2
{/eq} m long is moving on a straight track with a speed of 82.4 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 16.4 km/h. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the width ... | 29 s | Integer | Physics | Senior High School |
436873 | An ultrasound motion detector sends sound waves of frequency 263 kHz toward a vehicle moving away at a speed of 47.0 m/s. What is the frequency of the waves reflected back to the detector? The speed of sound is found to be 335 m/s. | 198282 Hz | Integer | Physics | Senior High School |
1904599 | A bridge of length 22 m and mass {eq}1.5 \times 10^5
{/eq} kg is supported at each end. A truck of mass 25,000 kg is located 17 m from the left support A. Calculate the normal force on the bridge at point B (the right support). The acceleration of gravity is {eq}9.8 m/s^2.
{/eq} | 924318.18 N | Float | Physics | Senior High School |
1868609 | A crate of mass 22 kg is pushed up a ramp by a person. The ramp is at an angle of 30 degrees. The person pushes the crate a distance of 22 m as measured along the ramp. Assume the crate moves at a constant velocity. Assume the coefficient of kinetic friction between the crate and the ramp is {eq}\mu_K
{/eq} = 0.35. Fi... | -2371.6 J | Float | Physics | Senior High School |
1272627 | How many photons are produced in a laser pulse of 0.208 J at 517 nm? | 6.02e17 | Float | Physics | Senior High School |
850168 | An electron enters the region of a uniform electric field between two oppositely charged parallel plates as shown, with an initial velocity of 3 x 10{eq}^6
{/eq} m/s. The electric field between the plates is measured to be E = 200N/C. The horizontal length of the plates is 10cm.
Find the acceleration of the electron ... | 3.52e13 m/s^2 | Float | Physics | Senior High School |
1770758 | A 11.5-g bullet is fired into a block of wood at 253 m/s. The block is attached to a spring that has a spring constant of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop.
Assuming that the surface on which the block is resting is fri... | 0.33 kg | Float | Physics | Senior High School |
1303029 | A train moves along a straight track towards a road crossing with a speed of 85.0 km/hr. At the moment the front car of the train arrives at the crossing the conductor applies the brakes which decelerate the train at a constant rate. If the train is {eq}6.00 \times 10^2
{/eq} m long, and the end of the last car passes... | 43.6 s | Float | Physics | Senior High School |
256385 | A water tank has the shape of a pyramid with the base up. The tank is open on top and has a small crane at the bottom. The height of the tank is 4 meters, and the base is 2x2 meters. Now the tank is full and the crane at the bottom is opened. After Torricelli's Law, the water will stream out of the crane with a rate pr... | 32 s | Integer | Physics | University |
414261 | The distance from San Francisco to Los Angeles is approximately 385 miles. 1609 m = 1 mile. How many kilometers is this? Use significant figures. | 619 km | Float | Physics | Senior High School |
391993 | What electric field strength would store 15.5 J of energy in every {eq}2.00\;mm^3
{/eq} of space? | 4.2e10 N/C | Float | Physics | University |
1583447 | What is the thinnest film (but not zero) that produces a strong reflection for the green light with a wavelength of 500 nm? | λ/(4n_1 cos θ_r) or λ/(2n_1 cos θ_r) | Expression | Physics | Senior High School |
812482 | A coil 4.15 cm radius containing 600 turns, is placed in a uniform magnetic field that varies with time according to {eq}B = \bigg(1.20 \times 10^{-2}\ \dfrac T s\bigg) t + \bigg(2.60 \times 10^{-6}\ \dfrac T{s^4}\bigg) t^4
{/eq}. The coil to a {eq}600\ \Omega
{/eq} resistor , and its plane is perpendicular to the... | 7e-5 A | Float | Physics | University |
651939 | A 7.20 × 10³-kg transport truck is approaching an 11.0° icy hill that has a bridge at the top that is out of service. The driver immediately slams on the brakes and begins to skid up the hill. The coefficient of kinetic friction between the tires and the hill is 0.330. If there are only 142 m from the bottom of the hil... | 37.9 m/s | Float | Physics | Senior High School |
994326 | An object with a mass of # 3 kg# is lying on a surface and is compressing a horizontal spring by #8 cm#. If the spring's constant is # 2 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction? | 0.0054 | Float | Physics | Senior High School |
925010 | The water stored at {eq}\displaystyle \rm 21^{\circ}C
{/eq} in the isolated storage tank is pumped by means of a pump with a volume flow rate of {eq}\displaystyle \rm 45 \frac{m \ 3}{h}
{/eq}. The engine that runs the pump consumes {eq}\displaystyle \rm 8,5 \ kW
{/eq} of energy. The water receives {eq}\displaystyle ... | 26.55 degrees Celsius | Float | Physics | University |
800160 | A trunk is dragged across a level floor using a mass less rope that makes an angle of 30 degrees with the horizontal. when the tension in the rope is 200 N and the kinetic friction coefficient = 0.5, the trunk moves at a constant speed.
What is the mass of the trunk? | 45.55 kg | Float | Physics | Senior High School |
693448 | A street lamp weighs {eq}150 \ N
{/eq}. It is supported equally by two wires that form an angle of {eq}108^o
{/eq} with each other. What is the tension of each of these wires? Answer in units of {eq}N
{/eq}. | 127.59 N | Float | Physics | Senior High School |
1988935 | A river of width 34 m flows in a straight line (the x direction) with a speed of 0.24 m/s. A boat is rowed such that it travels directly across the river (along y). If the boat takes exactly 2.0 minutes to cross the river, what is the speed of the boat relative to the water? | 0.37 m/s | Float | Physics | Senior High School |
2049538 | An electron is in a vacuum near the surface of the Earth. Where should a second electron be placed so that the net force on the first electron to the other electron and to gravity, is zero? | 5.08 m | Float | Physics | Senior High School |
334043 | Scientists want to place a 3300 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.2 times the radius of Mars above the surface of the planet.
What is the force of attraction between Mars and the satellite?
{eq}(m_{mars} = 6.4191 * 10^{23} kg; r_{mars} = 3.397 * 10^6 m; G =... | 1196.56 N | Float | Physics | Senior High School |
1362145 | A bowling ball of mass {eq}m = 1.2 \, \mathrm{kg}
{/eq} is launched from a spring compressed by a distance {eq}d = 0.45 \, \mathrm{m}
{/eq} at an angle of {eq}\theta = 35^\circ
{/eq} measured from the horizontal. It is observed that the ball reaches a maximum height of {eq}h = 4.3 \, \mathrm{m}
{/eq}, measured from... | 1547 N/m | Float | Physics | Senior High School |
1888466 | A cannon fires a shell, with a speed of 84m/s. When the cannon is inclined at 45 degrees, the horizontal distance covered is observed as 630m. What is the percentage decrease in the horizontal distance observed, due to air resistance? | 12.36 | Percentage | Physics | Senior High School |
106870 | An object with a mass of #1 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= e^x-1 #. How much work would it take to move the object over #x in [1, 2], where x is in meters? | 35.97J | Float | Physics | University |
625643 | An object's velocity is given by #v(t) = (2t^2 -t +2 , sint )#. What is the object's rate and direction of acceleration at #t=4 #? | The rate of acceleration is 15.01m/s^2 in the direction of 177.5º | Float | Physics | Senior High School |
986433 | How much heat in calories is required to raise the temperature of 80 grams of steam from 100°C to 300°C? | 7680 cal | Integer | Physics | Senior High School |
851506 | What's the gravitational acceleration on a planet where the period of a 2.20-m-long pendulum is 2.87 s? | 10.54 m/s^2 | Float | Physics | Senior High School |
684826 | What is the electrostatic potential energy (in joules) between an electron and a proton that are separated by {eq}49 \ pm
{/eq}? | -4.71e-18 J | Float | Physics | Senior High School |
279339 | A sign hangs supported by a rod and cable. The cable is at a {eq}30^{\circ}
{/eq} angle to the sign and the force on the rod is totally horizontal. If the sign weighs 200N what is the tension on the cable. | 400N | Integer | Physics | Senior High School |
944614 | The Earth can be approximated as a sphere of uniform density, rotating on its axis once a day. The mass of the Earth is {eq}5.97 \times 10^{24} \ \rm{kg}
{/eq}, the radius of the Earth is {eq}6.38 \times 10^{6} \ \rm{m}
{/eq} and the period of rotation for the Earth is 24.0 hrs. What is the moment of inertia of the E... | 9.72e37 kgm^2 | Float | Physics | Senior High School |
1104930 | A charge of #-1 C# is at the origin. How much energy would be applied to or released from a # -3 C# charge if it is moved from # ( -1, 3 ) # to #(-9 ,7 ) #? | 6.16 GJ | Float | Physics | University |
101843 | A beam of light falls normally on one of the smaller faces of a prism with angles of 30, 36 and 90. One got the liquid and placed on the hypotenuse of the prism. Knowing that the refractive index of the prism is 1.62. What is the largest index of refraction for the liquid must have so that the beam is totally reflected... | 1.4 | Float | Physics | Senior High School |
1925024 | A capacitor has two conducting parallel plates with an area of {eq}\displaystyle \rm 1 \ m^2
{/eq} separated by {eq}\displaystyle \rm 0.5 \ mm
{/eq} of air. Calculate the capacitance. | 1.77e-8 F | Float | Physics | Senior High School |
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