An object of mass 5 kg is acted on by two forces F1 = 6 i N and  F2 = 7 j N. What is the magnitude of the net acceleration? Give your answer in m/s2 to 2 sf.  The magnitude must be a positive number.

2. A mass of 2.50 kg is at rest at time = 0. Do not consider friction in this problem. Two vector forces are applied to the mass. What is the resulting vector acceleration? F1 = 2.40 i + 1.50 j Newtons. F2 = 5.00 Newtons at an angle of 25.0°with the positive X axis.

A crate of mass m = 24 kg rides on the bed of a truck attached by a cord to the back of the cab as in the figure below. The cord can withstand a maximum tension of 64 N before breaking. Neglecting friction between the crate and truck bed, find the maximum acceleration the truck can have before the cord breaks. (Enter the magnitude of the maximum acceleration in the forward direction.) m/s?

FTA FTB mA = 8.0 kg mg 10.0 kg 619 32° FTA = FTB for a pully with negligible mass as and friction. What are FTA = FTB ? Give your answer in Newtons to the correct number of significant figures. Remember: For a problem like this, an FBD is required on the midterm!

You place a crate of mass 35.1 kg on a frictionless 4.90-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.37 s after you released it. What is the angle of the incline?     41.9 degrees     62.9 degrees     37.1 degrees     32.2 degrees

A truck is driving forward with a 90 kg crate on the back. The coefficient of static friction between the crate and truck is µ-0.28. What is the fastest rate the truck could accelerate forward, in m/s², without the crate slipping off the back?

An object of mass 8.5 kg is suspended from a crane cable.  The tension force in the cable has a tension force 70 Newtons. What is the magnitude of the acceleration of the object in m/s2? You can neglect air resistance. Calculate your answer to 3 sf.

A 34.8 kg child is sitting at the top of a slide, which is inclined at an angle of 55 degrees with respect to the horizontal. Someone gives the child a quick push to get them moving, after which they slide down the incline without any further assistance. The coefficient of kinetic friction between the child and the slide is μ s  = 0.44. What is the magnitude of the acceleration (in m/s2) of the child?

A 4 kg block is sliding down a vertical wall while being pushed by an external force as shown in the figure. What is the magnitude of the acceleration of the block (in m/s2) if the coefficient of kinetic friction between the wall and the block is uj, = 0.20 and the magnitude of the external force is 20 N? 4 kg 30 X 8.8

A contestant in a winter sports contest pulls a 47 kg brick of ice 25 degrees in the positive horizontal direction with a rope over his shoulders over a frozen lake. Assume the coefficients of static and kinetic friction are µs=0.1 and µk=0.03. 1. Calculate the minimum force F he must exert to get the brick sliding in newtons.  2. What is its acceleration in m/s2 once it starts to move, if that force is maintained?