A bungee jumper dives from a bridge. At a point near the bottom of his dive, the forces acting on him are:gravity: 700 N downwardsspring force: 850 N upwardsair resistance: 60 N upwardsShowing your working, calculate:the net force (strength and direction) acting on himhis acceleration, given that his mass is 70 kg
Question
A bungee jumper dives from a bridge. At a point near the bottom of his dive, the forces acting on him are:gravity: 700 N downwardsspring force: 850 N upwardsair resistance: 60 N upwardsShowing your working, calculate:the net force (strength and direction) acting on himhis acceleration, given that his mass is 70 kg
Solution
First, let's calculate the net force acting on the bungee jumper.
The net force is the vector sum of all the forces acting on an object. In this case, we have three forces: gravity acting downwards, spring force acting upwards, and air resistance acting upwards.
The force due to gravity is 700 N downwards, so we'll consider this as negative. The spring force is 850 N upwards and the air resistance is 60 N upwards, so we'll consider these as positive.
Net force = Spring force + Air resistance - Gravity Net force = 850 N + 60 N - 700 N Net force = 210 N
Since the result is positive, the net force is acting upwards.
Next, let's calculate his acceleration.
Acceleration is given by Newton's second law, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula is:
Acceleration = Net force / Mass
Substituting the given values:
Acceleration = 210 N / 70 kg Acceleration = 3 m/s²
So, the net force acting on the bungee jumper is 210 N upwards and his acceleration is 3 m/s² upwards.
Similar Questions
A bungee jumper has a mass of 67 kg.The total height of the jump towards Earth is 210 m.Calculate the speed of the bungee jumper at the bottom of the jump just before the bungee cord stretches and catches them.Gravitational field strength = 9.8 N/kgIgnore the effects of air resistance.Give your answer to three significant figures.
Don (82.8 kg) is going bungee jumping. The bridge he will jump off of is 54.0 m above the ground. After Don jumps, he comes to a spot 10.3 m above the ground before the bungee pulls him back.How much elastic energy is in the bungee cord when Don is 10.3 meters above the ground?
An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons. a. Determine the net force acting on the object and b. calculate the acceleration of the object.
Chris jumps off a bridge with a bungee cord (a heavy stretchable cord) tied around his ankle . He falls for 15 m before the bungee cord begins to stretch. Chris's mass is 75 kg and we assume the cord obeys Hooke's law, F=−kx , with k = 60 N/m .
A skydiver with a mass of 70 kg jumps from a plane. His acceleration is 9.8 m/s2 due to gravity. With what force is the skydiver falling?Group of answer choices7.1 N70 N686 N9.8 N
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.