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A motorcycle has a mass of 250kg. It goes around a 13.7 m radius turn at 96.5 km/hr. What is the centripetal force?

topjm [15]

Answer: c) 1.31 × 10⁴N

Explanation:

Centripetal force is a force that causes a body to move in a circular path. The body possesses a centripetal acceleration.

According to newtons first law

Force = mass (m) ×acceleration (a)

Acceleration of a body moving in a circular path = v²/r where;

v is the velocity and r is the radius

Force = MV²/r

Given m = 250kg v = 96.5km/hr r = 13.7m

We need to convert 96.5km/hr to m/s

= 96.5km ×1000/1hr × 3600

= 96,500/3,600

v = 26.8m/s

Force = 250 × 26.8²/13.7

Force = 13,106.5N

The centripetal force = 13,106.5N

= 1.31 × 10⁴N

4 0

3 years ago

A particle moves along a straight path through displacement while force acts on it. (Other forces also act on the particle.) Wha

allsm [11]

a) c = 1.85

b) c = 0.8

c) c = 2.33

Explanation:

a)

The displacement of the particle is given by

$d=2.2i+cj$

While the force applied on the particle is

$F=3.2i-3.8 j$

So we have a problem in 2-dimensions.

The work done on the particle is given by the scalar product between force and displacement:

$W=F\cdot d$ (1)

Here the work done on the particle is zero, so

W = 0

Therefore from eq(1) we find:

$0=(3.2i-3.8j)\cdot (2.2i+cj)=7.04-3.8c\\3.8c=7.04\\c=\frac{7.04}{3.8}=1.85$

b)

In this problem, the work done on the particle is

$W=4.0 J$

The force and displacement are still

$d=2.2i+cj$ (displacement)

$F=3.2i-3.8 j$ (force)

Therefore, by calculting the scalar product between force and displacement and equating it to the work done (4.0 J), we find:

$W=F\cdot d$

$4.0 =(3.2i-3.8j)\cdot (2.2i+cj)=7.04-3.8c\\3.8c=3.04\\c=\frac{3.04}{3.8}=0.8$

c)

In this problem instead, the work done on the particle is negative:

$W=-1.8 J$

As before, the force and displacement are

$d=2.2i+cj$ (displacement)

$F=3.2i-3.8 j$ (force)

And so again, we calculate the scalar product between force and displacement and we equate it to the work done on the particle, -1.8 J.

Doing so, we find:

$W=F\cdot d$

$-1.8=(3.2i-3.8j)\cdot (2.2i+c)=7.04-3.8c\\3.8c=8.84\\c=\frac{8.84}{3.8}=2.33$

7 0

3 years ago

What is radiant energy emmited by the sun

Marina CMI [18]

Answer:

Solar radiation is radiant energy emitted by the sun, particularly electromagnetic energy.

7 0

3 years ago

Read 2 more answers

Trial 1: Get a textbook and put a sheet of paper on top of it. Fold the paper as needed to keep the paper from sticking over the

siniylev [52]

Answer:

1) the two objects reach the floor at the same time.

2)the book reaches the floor much earlier than the foil

In conclusion, the difference in motion between the two systems subjected to the same acceleration depends on the weight of the body and friction force, when the body has less weight, the friction of the air affects it more

Explanation:

This interesting experiment has the following results

1) first case. Sheet on top of book

In this case the two objects reach the floor at the same time.

This shows that the acceleration in the two objects is the same and we call it the acceleration of gravity.

The speed of the body increases as it goes down linearly.

This occurs because the book that receives air resistance is much heavier, so the resistance has almost no effect on its movement, the sheet does not have the air resistance because it goes down next to the book.

2) second case. Book and sheet next to each other.

In this case the book reaches the floor much earlier than the foil.

This is because the resisting force of the air has almost no effect on the book and its movement is little affected by this force.

In the case of the blade, it has very little weight, therefore as its speed increases, the resistance force of the air rapidly equals the weight of the blade.

W_sheet - fr = 0

so after this, since the acceleration is zero, it goes down at constant speed, this speed is called the terminal velocity.

In conclusion, the difference in motion between the two systems subjected to the same acceleration depends on the weight of the body and friction force, when the body has less weight, the friction of the air affects it more.

3 0

3 years ago

A body of mass 5kg is taken from height 10m. find the increase in potential energy

Vadim26 [7]

Answer:

500 joule

Explanation:

given,

mass(m)= 5kg

height(h)= 10m

acceleration due to gravity(g)= 10m/s^2

potential energy =?

We know that,

potential energy = mgh

= 5×10×10

= 500 joule

3 0

3 years ago