An apple bruises if a force greater than 8.0 N is exerted on...

An apple bruises if a force greater than 8.0 N is exerted on it. Would a 0.10-kg apple be likely to bruise if it falls 2.0 m and stops after sinking 0.060 m into the grass? The apple is likely to bruise The apple is likely not to bruise Submit Previous Answers Part B Correct Assume the deceleration of the apple during the sinking is constant. What is the magnitude of the force the ground exerts on the apple in this case? Express your answer with the appropriate units. \mu A ? F = Value Units Submit Previous Answers Request Answer Incorrect; Try Again; 5 attempts remaining You have found the magnitude of the resultant force acting on the apple during the sinking, while you are asked to find the magnitude of the force only the ground exerts on the apple during the sinking. Note that the Earth also exerts a force on the apple during the sinking.

Transcript

00:01 In this problem, we are told that an apple bruises if there's a force on it bigger than 8 newtons.

00:10 So the maximum force the apple can withstand without being bruised is 8 newtons.

00:19 There is an apple falling.

00:24 The mass of the apple is 0 .10 kilograms and the distance that the apple falls is 2 meters.

00:39 So assuming that is the starting point, this distance here is s and we will write it as minus 2 meters because we assume here that any vector down is negative and any vector up will be positive.

01:03 We are then told that the apple sinks 0 .06 meters into the ground.

01:10 So there is a farther distance, so we call the first distance s1, and there is a farther distance s2 still downwards, so still negative, equals to 0 .06 meters.

01:27 And this is the distance the apple sinks into the grass.

01:32 And after this, sinking the apple stops.

01:37 So at this point, the final velocity of the apple is zero.

01:44 We are told that we need to determine whether or not this apple bruises.

01:51 So we start by considering the fact that the system is the apple, and therefore the system is not isolated, because there will be external forces acting on the apple.

02:21 We write down the generalized impulse momentum theorem, which states that the impulse is equal to the change in momentum delta p, and it's equal to the average force times the time interval over which this force acts.

02:45 Now, we need to calculate the velocity of the apple just before it hits the ground.

02:53 We call this v1.

02:59 So it's the velocity of the apple just before it hits the ground.

03:04 We assume that the apple starts with an initial zero velocity, and we can calculate this v1 by using the equation for uniformly accelerated motion.

03:17 We have that v1 squared is equal to u squared plus 2 as.

03:26 U is 0 as we said, so we are left with 2as, where a is the acceleration due to gravity.

03:38 It's a vector point in downwards and therefore we take its value to be negative...

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