1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
daser333 [38]
3 years ago
8

A car of mass 900 Kg is moving with a velocity of 10 m/s. It is brought to rest at 25 m distance by applying the brakes. Calcula

te the acceleration. Why is it negative? How much force is required to stop the car?​
Physics
1 answer:
Verizon [17]3 years ago
3 0

Answer:

Assumption: the acceleration of this vehicle is constant until it comes to a stop.

Acceleration: (-2)\; \rm m\cdot s^{-2}.

The acceleration of this vehicle is negative because the velocity of this vehicle is decreasing over time.

Explanation:

  • Let u denote the initial velocity of this vehicle. u = 10\; \rm m\cdot s^{-1}.
  • Let v denote the final velocity of this vehicle. v = 0\; \rm m\cdot s^{-1} as the vehicle has come to a stop.
  • Let x denote the displacement of this vehicle. x = 25\; \rm m.
  • Let a denote the acceleration of this vehicle. The value of a\! needs to be found.

Assume that the acceleration of this vehicle, a, is constant. The SUVAT equations would apply.

The time t required for braking is neither given nor required. Hence, make use of the SUVAT equation v^{2} - u^{2} = 2\, a\, x to relate u, v, a, and x\!.

Rearrange this equation to find an expression for a, the acceleration of this vehicle:

\begin{aligned}a &= \frac{v^{2} - u^{2}}{2\, x} \\ &= \frac{(0\; \rm m\cdot s^{-1})^{2} - (10\; \rm m \cdot s^{-1})^{2}}{2\times (25\; \rm m)} \\ &= \frac{0^{2} - 10^{2}}{2 \times 25}\; \rm m \cdot s^{-2} \\ &= -2\; \rm m\cdot s^{-2}\end{aligned}.

  • When the rate of change of a value is greater than 0, that value would become larger over time.
  • When the rate of change of a value is equal to 0, that value would be constant.
  • When the rate of change of a value is smaller than 0, that value would become smaller over time.

Acceleration is the rate at which velocity changes over time.

The velocity of the vehicle in this question is getting smaller over time. Hence, the rate of change of the velocity of this vehicle (that is, the acceleration of this vehicle) would be a negative number.

You might be interested in
What do nebulae have the most in common with?
alexdok [17]
Most commonly the answer is A, the sun. A nebula is a nursery for stars. The Sun itself was created in a nebula. Also,you do not need college physics to understand this question


3 0
3 years ago
Help PLEASE
Travka [436]

Answer:

d I believe so

Explanation:

d yes?????

8 0
3 years ago
Bill and Janet are pulling on opposite sides of a table. Bill pulls with a force of 250 N to the left, and Janet pulls with a fo
Dafna1 [17]

Answer: 75 N to the right

Explanation:

5 0
3 years ago
A block of mass 200g is oscillating on the end of a horizontal spring of spring constant 100 N/m and natural length 12 cm. When
malfutka [58]

In order to determine the acceleration of the block, use the following formula:

F=ma

Moreover, remind that for an object attached to a spring the magnitude of the force acting over a mass is given by:

F=kx

Then, you have:

ma=kx

by solving for a, you obtain:

a=\frac{kx}{m}

In this case, you have:

k: spring constant = 100N/m

m: mass of the block = 200g = 0.2kg

x: distance related to the equilibrium position = 14cm - 12cm = 2cm = 0.02m

Replace the previous values of the parameters into the expression for a:

a=\frac{(\frac{100N}{m})(0.02m)}{0.2\operatorname{kg}}=10\frac{m}{s^2}

Hence, the acceleration of the block is 10 m/s^2

8 0
1 year ago
The pressure of a gas changes from 120 kPa. The volume changes from 45 L to 40 L. If the initial temperature is 81 c, what is th
irina [24]

Explanation:

we are not given the pressure change, check yhe question please

7 0
3 years ago
Other questions:
  • How do mass and speed affect kinetic energy?
    12·1 answer
  • According to "Michael Faraday's World," which intrigued Michael Faraday?
    14·1 answer
  • A wall clock has a minute hand with a length of 0.53 m and an hour hand with a length of 0.26 m. Take the center of the clock as
    5·1 answer
  • A well hole having a diameter of 5 cm is to be cut into the earth to a depth of 75 m. Determine the total work (in joules) requi
    9·1 answer
  • What will keep the gravitational force between two objects unchanged?
    15·1 answer
  • When an element undergoes nuclear transmutation, the result is a completely different
    8·2 answers
  • The forces exerted by earth and a skier become an action reaction force pair when the skier accelerates while earth doesnt seem
    15·1 answer
  • A Plane has a takeoff speed of 150 m/s and requires 1500m to reach that speed. Determine the acceleration of the plane and the t
    8·1 answer
  • Write a conclusion to this lab in which you discuss when a person on a roller coaster ride would have sensations of weightlessne
    9·1 answer
  • What is the concentration of H+ ions at a pH = 2? mol/L What is the concentration of OH– ions at a pH = 2? mol/L What is the rat
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!