Classical Mechanics Answers

a crane a force ,F to lift a 200kg load up into the air . the load is accelerating upwards at o.5 m.s-2 . calculate the value of the applied force , F

Upon reaching its maximum height, a 546-g projectile launched from the ground with an initial velocity of 15.0 m/s, 30.0° above the horizontal collides with a vertical free falling object of mass 245 g and the two stick together after the collision. Suppose that at the time of collision, the second object is momentarily at rest, what is the resulting speed of the two objects upon reaching the ground?

A roller coaster starts from rest at the top of a track 30.0 m long and inclined at 20.0° to the horizontal. Assume that friction can be ignored. A) what is the acceleration of the car?
B)How much time elapses before it reaches the bottom of the track?

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At what speed does the body have to be pushed vertically upwards so that it has a speed of 5 m / s at a height of 10 m?

What is the acceleration of the body if the speed decreases from 14 m / s to 36 km / h in 2 seconds.

The grinder makes 40 revolutions in 80 seconds. Determine the rotation period and frequency of the grinding wheel.

When a force of 50 N is applied to the spring, it stretches by 10 cm. What is the coefficient of spring stiffness?

A lift with a mass of 600 kg moves down at a steady acceleration and goes 64 m in 8 seconds. What is the tensile force of the elevator ropes?

You and a friend are standing far from a door and meet each other’s eyes. Your friend starts running towards the door with a constant speed of 5 m/s while starting 40 meters away from the door. After 1 second passes you become determined not to lose the race to the door and begin running. Starting from rest you accelerate at 2 m/s2 up to your top speed of 7 m/s. You begin your run 30 meters from the door.
Given these parameters, who reaches the door first, you or your friend?

4. A plane is flying at 240 m s−1, on a bearing of 125º from due
north. Calculate its velocity component due south, and its
velocity component due east.

A marble is launched horizontally off of a table with a height H. the marble land a distance D from the edge of the table. which of the following formulas represents the time it takes for the marble to hit the ground? (Choose one)

A- 2h/g
B- hD
C- correct answer not provided
D- hD/g
E- sqrt(2h/g)
F- h/D

An orange is thrown vertically upward with an initial velocity of 20 m/s which velocity and acceleration vectors correctly describe the motion of the orange on its way up? (Only choose one answer)

a- The velocity is directed up and decreasing as the acceleration is directed down and decreasing
b- none of the listed answers correctly identify the velocity and acceleration of the object as it moves upward
c- The velocity is directed up and constant as the acceleration is directed up and decreasing
d- The velocity is zero in the acceleration is zero
e- The velocity is directed up and decreasing as the acceleration is directed down and constant
f- The velocity is directed up and increasing as the acceleration is directed down and decreasing

A horizontal spring-mass system oscillates on a frictionless table. If the ratio of the mass to the spring constant is 0.042 kg·m/N, and the maximum speed of the mass was measured to be 5.9 m/s, the maximum extension of the spring will be 25 cm