How much energy or stopping power is needed to bring a car to a stop from 100 mph?

You are asked to design a spring that will give a 1070 kg satellite a speed of 3.75 m/s relative to an orbiting space shuttle. Y

Dvinal [7]

Answer:

$380697.33\ \text{N/m}$

$0.138\ \text{m}$

Explanation:

m = Mass rocket = 1070 kg

v = Velocity of rocket = 3.75 m/s

a = Acceleration of rocket = 5g

g = Acceleration due to gravity = $9.81\ \text{m/s}^2$

The energy balance of the system is given by

$\dfrac{1}{2}kx^2=\dfrac{1}{2}mv^2\\\Rightarrow kx=\dfrac{mv^2}{x}\\\Rightarrow kx=\dfrac{1070\times 3.75^2}{x}\\\Rightarrow kx=\dfrac{7250}{x}$

The force balance of the system is given by

$ma=kx\\\Rightarrow m5g=\dfrac{7250}{x}\\\Rightarrow x=\dfrac{7250}{1070\times 5\times 9.81}\\\Rightarrow x=0.138\ \text{m}$

The distance the spring must be compressed is $0.138\ \text{m}$

$k=\dfrac{7250}{x^2}\\\Rightarrow k=\dfrac{7250}{0.138^2}\\\Rightarrow k=380697.33\ \text{N/m}$

The force constant of the spring is $380697.33\ \text{N/m}$ .

4 0

3 years ago

Use the data table and compare your calculated predictions with the measured y positions. Record your results in the table below

-Dominant- [34]

Answer:

0.3 s -0.4 m -0.57 m

0.5 s -1.2 m -1.27 m

0.7 s -2.3 m -2.4 m

Explanation:

8 0

4 years ago

A toy car is moving horizontally and started its motion from a position of X1 = 2 cm, then after 3 seconds it reached at a posit

ahrayia [7]

Since distance is a scalar and not a vector, the total distance traveled is the sum of all the distances covered throughout the journey.

In Physics, we have two categories of quantities;

Vectors
Scalars

The difference between vectors and scalars is that vectors has direction but scalars do not have direction. Both quantities posses magnitude.

The total distance covered can be obtained algebraically since distance is a scalar.

Hence, total distance covered = 2 cm + 6cm + 5 cm = 13 cm

Learn more: brainly.com/question/14093917

8 0

2 years ago

Jupiter, the largest planet in the solar system, has an equatorial radius of about 7.1 x 10^4km (more than 10 times that of Eart

Zarrin [17]

Answer:

The average speed is $v = 1260 \ km/s$

The average speed is different from the average velocity in this question

Explanation:

From the question we are told that

The equatorial radius of Jupiter is $R_j = 7.1*10^{4} \ km$

The period of oscillation of Jupiter is $T_J = 9 \ hours , 50 \ min = 35400 \ seconds$

Generally the average speed is mathematically represented as

$v = \frac{2 \pi * R_j }{T_J}$

=> $v = \frac{2 *3.142 * 7.1*10^{4} }{35400}$

=> $v = 1260 \ km/s$

Generally in average speed the direction is not considered while in average velocity the direction is considered for the case of this question the movement equitorial point has no direction in that it start from one point and after its periodic motion it still remains at that point

6 0

3 years ago

A 32kg object has a momentum of 480kg m/s northward. what is the objects velocity ?

Brut [27]

Answer:

velocity = 15m/s

Explanation:

momentum of the object = 480kg/ms

nass of object = 32 kg

velocity of object = ?

momentum = velocity × mass

velocity = momentum / velocity

= 480kg/ms/32kg

= 15m/s

8 0

3 years ago