Question

At the time t = 0 s, an object of mass m = 10.5kg goes through the origin of a reference frame with at velocity x_0 = 12.0 m/s directed along the x axis. A constant force F = 15 N distorted along the y axis is applied to the object. a) Draw a free body diagram of the object. b) Calculate the magnitude of the object's acceleration. c) Calculate the x and y coordinate of the object at the time t = 10s. A meteorite of mass m = 1. 15 kg falls vertically toward the earth with an acceleration a = 8.90 m/s^2. On top of the force of gravity, a braking force due to the atmosphere acts on the meteorite. a) Draw a free body diagram of the object. b) What is the magnitude of the braking force?.

Answer 1

6)

15N

b)

$F=ma\\ \implies 15=10.5a\\ \implies 1.43m/s^2=a$

c)Along x direction there is no force hence no acceleration, so position is

$x=12\times10=120m$

Along y direction acceleration is a, so position is

$y=\frac{1}{2}\times 1.43\times 10^2=71.5m$

So (x,y)=(120,71.5)m

7)

Braking force mg

Let braking force be B

So $mg-B=ma\\ \implies mg-ma=B\\ \implies 1.15\times(9.8-8.9)=B\\ \implies 1.035N=B$