Physics question. Newtons Laws. Any help would be appreciated. Thank you!!!!?

Question

This has to do with Newtons Law. Thanks a lot guys.

Question: Two buckets of sand hang from opposite ends of a rope that passes over an ideal pulley. One bucket weighs 105 N; the other bucket weighs 48 N. (Assume no friction)

a.) Initially, you hold onto the lighter bucket to keep it from moving. What is the tension in the rope?

_______ N

b.) You release the lighter bucket and the heavier one descends. What is the tension in the rope now?

_______ N


c.) Eventually the heavier bucket lands and the two buckets come to rest. What is the tension in the rope now?

_______ N


Again thanks a lot!!!

Answer 1

(Sorry originally I have assumed that masses are given and not weights)
a) 105N
The forces are balanced T1=T2 tension on one side of the pulley counteracts tension of the other. The tension is caused by larger weight of 105N and counteracted by you and the 48 N. (First law)

b) (105-48) =57 N
The system of two masses is in motion caused by the unbalance of forces F=W1-W2 or

a(m1+m2)=(m1-m2)g = tension of the rope (Second Law)

c) 48 N

The weight of 48 N just hangs in the air using its weight to provide the tension. (First Law)

Extra: Please note that when the heavier block lands the lighter keeps on going up and the tension on the rope will be 0.

Answer 2

according to newtons second law, F(force) = M(Mass) * A(Acceleration) you have to find force, which means you need to know both the others. Mass = 2Kg.(given) Acceleration is metres/(second)^2 = 8*10^-1/(0.5)2 = 3.2 m/s^2(dont forget to square it) Now u ave both mass and accelration. So to find force just multiply them. So it has to be 6.4Newtons or just 6.4N

Answer 3

a- 105N


b-105 N
c-48N

Answer 4

210,153,96

Answer 5

a. 57N
b. 57N
c. zero

(I think)