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Anton [14]
3 years ago
5

A 90kg man is standing still on frictionless ice. His friend tosses him a 10kg ball, which has a horizontal velocity of 20m/s. A

fter catching the ball, what is the man's velocity?
Physics
2 answers:
Dima020 [189]3 years ago
8 0

Answer:

The man's velocity is (2.222,0,0)\frac{m}{s}

Explanation:

If we want to solve this exercise, we need to use the Momentum Conservation Principle.

The momentum is a vectorial magnitude define as :

p=m.v

Where ''p'' is the momentum

Where ''m'' is the mass of the object

And where ''v'' is the velocity vector.

For any collision occurring in an isolated system, momentum is conserved. We define an isolated system as a system in which the sumatory of exterior forces is equal to zero.

For this exercise, we can solve it as a collision ⇒

m1.v1=m2.v2

Where ''m1'' is the mass of the ball

Where ''v1'' is the velocity vector of the ball

Where ''m2'' is the mass of the man

And where ''v2'' is the velocity vector of the man after catching the ball.

If we replace all the data in the equation :

(10kg).(20\frac{m}{s})=(90kg).v2

v2=2.222\frac{m}{s}

This will be the magnitude of the velocity vector from the man.  

If we define as positive the sense in which his friend tosses him the ball (given that we know the direction), the man's velocity will be (2.222,0,0)\frac{m}{s}

Ludmilka [50]3 years ago
7 0
Using the conservation of momentum,
ma*va1 + mb*vb1 = ma*va2 + mb*vb2
Let:
ma = mass of the ball
va = velocity of the ball
mb = mass of the man
vb = velocity of the man
The subscript 1 is known as initials while 2 is for finals.
Before the man throws the ball, he starts at rest, meaning the initial velocity of the ball and the initial velocity of the man are zero. So
0 = ma*va2 + mb*vb2
Given ma = 10 kg; va = 20 m/s; mb = 90 kg; vb is unknown, therefore
-(mb*vb2) = ma*va2
vb2 = -(ma*va2)/mb2 = -(10*20)/90 = -2.22 m/s
Notice that his velocity is negative because when he finally throws the ball (say to the right), he moves at the opposite direction (that is to the left) on which he stands on the frictionless surface.

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A 60kg bicyclist (including the bicycle) is pedaling to the
Fittoniya [83]

a) 4 forces

b) 186 N

c) 246 N

Explanation:

a)

Let's count the forces acting on the bicylist:

1) Weight (W=mg): this is the gravitational force exerted on the bicyclist by the Earth, which pulls the bicyclist towards the Earth's centre; so, this force acts downward (m = mass of the bicyclist, g = acceleration due to gravity)

2) Normal reaction (N): this is the reaction force exerted by the road on the bicyclist. This force acts vertically upward, and it balances the weight, so its magnitude is equal to the weight of the bicyclist, and its direction is opposite

3) Applied force (F_A): this is the force exerted by the bicylicist to push the bike forward. Its direction is forward

4) Air drag (R): this is the force exerted by the air on the bicyclist and resisting the motion of the bike; its direction is opposite to the motion of the bike, so it is in the backward direction

So, we have 4 forces in total.

b)

Here we can find the net force on the bicyclist by using Newton's second law of motion, which states that the net force acting on a body is equal to the product between the mass of the body and its acceleration:

F_{net}=ma

where

F_{net} is the net force

m is the mass of the body

a is its acceleration

In this problem we have:

m = 60 kg is the mass of the bicyclist

a=3.1 m/s^2 is its acceleration

Substituting, we find the net force on the bicyclist:

F_{net}=(60)(3.1)=186 N

c)

We can write the net force acting on the bicyclist in the horizontal direction as the resultant of the two forces acting along this direction, so:

F_{net}=F_a-R

where:

F_{net} is the net force

F_a is the applied force (forward)

R is the air drag (backward)

In this problem we have:

F_{net}=186 N is the net force (found in part b)

R=60 N is the magnitude of the air drag

Solving for F_a, we find the force produced by the bicyclist while pedaling:

F_a=F_{net}+R=186+60=246 N

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alexdok [17]
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ANSWER: Destructive Interference

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Hope this Helps!
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