7) A stone of mass 2 kg is released from the top of a...

7) A stone of mass 2 kg is released from the top of a building at a height of 10 m. a) What is the force acting on it when it is at a height of 10 m? b) What is the force acting on it just before it hits the ground? c) What is its acceleration at a height of 10 m? 8) Consider a ball of mass 5 kg hanging by a thread as shown below. The ball is stationary. What is the tension in the thread? T 9) Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 10,000 kg. The thrust (upward force) of its engines is 30,000 N. a) Draw a free body diagram for the module b) If the value of at the surface of the moon is 1.6 m/s², calculate its acceleration

Transcript

00:01 Hello, in the question we have been given a net force.

00:06 F is equal to 64 newton is acting on a body whose mass is m is equal to 16 kg.

00:16 And we have to find acceleration of that body.

00:20 So, as we know from newton's second laws of motion, f is equal to m multiplied by a.

00:30 Now putting the values, we will have 64.

00:34 64 is equal to 16 multiplied by a or from here we will have a is equal to 64 divided by 16 which will get 4 meter per second square so acceleration of the body of mass 16 kg will be equal to a is equal to 4 meter per second square also we have been given an object which has acceleration a is equal to 3 meter per second square when the force is f0 so f1 will be equal to f0 now what will be the acceleration let us call this a 1 this at a 2 we have to find a 2 when f2 is equal to twice of so as we know that force is there is proportional to acceleration so f1 by f2 will be equal to a 1 by a 2 or f0 divided by 2 f0 will be equal to 3 divided by a 2 from here we will have a 2 is 2 it equal to 6 meter per second square so when the force is doubled the new acceleration will become at a is equal to 6 meter per second square.

02:14 Again, we have been given weight of a body is equal to 2 newton and we have to find mass of the body.

02:28 As we know that, weight is equal to mass multiplied by acceleration due to gravity.

02:36 So, putting the values, we will have 2 is equal to mass multiplied by 9 .8.

02:44 Because value of acceleration due to gravity is 9 .8.

02:48 So we will have mass is equal to 2 divided by 9 .8 which comes at 0 .204 kg.

03:00 So mass of body m is equal to 0 .204 kg...

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