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A car with a mass of 900.0 kg is moving at 26.0 m/s [E] when it crashes into a truck with a mass of 1500.0 kg moving at 30.0 m/s [W]. After the 0.4 s collision, both vehicles are coupled together and have the same velocity. Find the final velocity and average net force of each vehicle after the collision.
A 100.0 kg football player moving at 8.0 m/s [N] smashes into a training dummy for 0.25 s and bounces back with a velocity of 6.0 m/s [S]. Find the average net force and average acceleration on the football player.
A mass is attached to a spring with a force constant of 40.0 N/m. The spring and mass are set to simple harmonic motion with a period of 0.50 s on a frictionless, horizontal surface.
a) What is the mass of the object?
b) What is the frequency of the oscillations?
c) At which point will the object be at maximum speed? Minimum speed?
d) At which point will the object be at max acceleration? Minimum acceleration?
A spring with a force constant of 7.0 N/m is hung vertically and then compressed by 0.125 m. If a 0.100 kg mass is attached to the spring while compressed by 0.125 m, what will the speed of the mass be when it is passing a point 0.175 m below the compression point (i.e. 0.050 m or 5.0 cm below the equilibrium point)?
A 15.0 kg child slides down a 4.25 m playground slide that makes a 45o with the horizontal axis. While sliding, a 2.5 N force of friction acts on the child. What will the child’s speed be when she reaches the bottom of the slide?
A liquid causes a pressure of 300000 Pa on an object that is submerged at a depth of 30 m in the liquid?
What is the liquid?
A particle P is let fall vertically from a height to the ground . Another particle Q is projected vertically down 3s later with a velocity of 3m/s from the same height . If both particle reached the ground simultaneously , calculate
(a)time by each particle to reach the ground
(d) distance travelled by each particle to the ground
A loading car, as given in figure, is at rest on a track forming an angle of 25° with the vertical.
The gross weight of the car and its load is 5000 lb, and it is applied at a point 30 in. from the
track, halfway between the two axles. The car is held by a cable attached 24 in. from the track.
Determine the tension in the cable and the reaction at each pair of wheels
A 1.00 m3 box is filled with 54.1 moles of air (MM = 0.0289 kg/mole). The rms speed of the molecules is 549 m/s. What is the pressure of the molecules?
A uniform 80.0 N ladder 4.0 m long is placed against a frictionless wall with its base situated 2.0 from the wall. Find the forces exerted by the wall and by the ground on the ladder.
