Starting from rest, an object accelerates on a straight level surface at a rate of 2 m/s2 for 10 seconds. What is the speed of the object at the end of 10 seconds?
20 m/s
The impulse on an object can be found graphically, and with a function by doing this...
Area under the curve of a Force vs. time graph. Taking the integral of a force function (wrt time)
The symbols for the angular equivalent to position, velocity, force, mass and momentum (in order)
What are theta, omega (w), tau (torque), I (moment of inertia) and L ?
A small ball rolls off a table that is 1.2 m high. The ball hits the floor at a horizontal distance of 1.85 m away from the table. How long does the ball take to hit the floor?
0.49 s
An objects position is given by the function
x=3t2+8t-2t5/2.
Is the object speeding up or slowing down when t = 1s?
slowing down.
A 34 kg box is at rest on a 20 degree incline. What is the value of the coefficient of static friction?
0.36
A car, starting from rest, accelerates for 5 seconds until its wheels are moving with an angular velocity of 1000 rad/s. What is the angular acceleration of the wheels during this 5 seconds?
200 rad/s2
An object moving in a straight line has a velocity v in m/s that varies with time t in seconds, according to the following function: v=8t+2.5t3 What is the instantaneous acceleration at t=2s?
38 m/s2
A 4 kg box is being lifted by a rope so that it accelerates up at 3 m/s2. What is the force of tension?
52 N
A 2 kg mass is moving in one dimension with a velocity given by v(t)=1/2t2. At t=4s, the instantaneous power delivered by the net force is...
P = 64 watts
The acceleration of a moving object is represented by the function a = 9t2+2. At t=0 the object at xo = -2 m and is traveling with a velocity of 3 m/s in the negative x direction. What is the instantaneous acceleration at t=3?
83 m/s2
The equation for the velocity of a 4kg particle as a function of time is v(t)=30t3 + 10. Derive an expression for the net force on the particle as a function of time.
F(t)=360t2
A 10 kg mass is moving at 5 m/s over a rough surface. A 50 N horizontal tension force causes it to accelerate to 8 m/s while travelling 6 m. The coefficient of kinetic friction between the mass and the surface is...
= 0.18
What is the mass of a disk of radius 10 m which requires 15 Nm of torque to change its rotational velocity by 20 rad/s in 30 s?
0.45 kg