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4 years ago

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An object of mass 3.07 kg, moving with an initial velocity of 5.07 m/s, collides with and sticks to an object of mass 2.52 kg wi

th an initial velocity of -3.11 m/s. Find the final velocity of the composite objec

1 answer:

Alenkasestr [34]4 years ago

3 0

Answer:

This is an inelastic collision. This means, unfortunately, that KE cannot save you, at least in the problem's current form.

Let's see what conservation of momentum in both directions does ya:

Conservation in the x direction:

Only 1 object here has a momentum in the x direction initally.

m1v1i + 0 = (m1 + m2)(vx)

3.09(5.10) = (3.09 + 2.52)Vx

Vx = 2.81 m/s

Explanation:

Conservation in the y direction:

Again, only 1 object here has initial velocity in the y:

0 + m2v2i = (m1 +m2)Vy

(2.52)(-3.36) = (2.52 + 3.09)Vy

Vy = -1.51 m/s

++++++++++++++++++++

Now that you have Vx and Vy of the composite object, you can find the final velocity by doing Vf = √Vx^2 + Vy^2)

Vf = √(2.81)^2 + (-1.51)^2

Vf = 3.19 m/s

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Answer:

To save the unnecessary bills and carbon emissions.

Explanation:

Energy efficiency is important to society in the following ways:

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4 years ago

The temperature of water in a beaker is 45°C. What does this measurement represent

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3 years ago

Read 2 more answers

The amount of work done by two boys who apply 200 N of force in an

Aleksandr [31]

The amount of work done by two boys who apply 200 N of force in an unsuccessful attempt to move a stalled car is 0.

Answer: Option B

<u>Explanation: </u>

Work done is the measure of work done by someone to push an object from its present position. We can also define work done as the amount of forces needed to move an object from its present position to another position. So the amount of work done is directly proportionate to the product of forces acting on the object and the displacement of the object.

$\text { Work done }=\text { Force } \times \text { displacement }$

So in this present case, as the two boys have done an unsuccessful attempts to push a stalled car so that means the displacement of the car is zero as there is no change in the position of the car. But they have applied a force of 200 N each. So the amount of work done will be

$\text { Work done }=200 \mathrm{N} \times 0=0$

Thus, the amount of work done by two boys will be zero due to their unsuccessful attempt to move a stalled car.

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3 years ago

A 70.0-kg skier is sliding at 4 m/s when they slide down a 2m high hill. At the bottom of the hill they run into a large 2800 N/

Katarina [22]

Answer:

$\Delta x=245\ mm$

Explanation:

Given:

mass of skier, $m=70\ kg$

initial velocity of skier, $u=4\ m.s^{-1}$

height of the hill, $h=2\ m$

spring constant, $k=2800\ N.m^{-1}$

<u>final velocity of skier before coming in contact of spring:</u>

Using eq. of motion:

$v^2=u^2+gh$

$v^2=4^2+9.8\times 2$

$v=5.9666\ m.s^{-1}$

<u>Now the time taken by the skier to reach down:</u>

$v=u+gt$

$5.9666=4+9.8\ t$

$t=0.2007\ s$

<u>Now we calculate force using Newton's second law:</u>

$F=\frac{dp}{dt}$

$F=\frac{m(v-u)}{t}$

$F=\frac{70\times(5.9666-4)}{0.2007}$

$F\approx686\ N$

<u>∴Compression in spring before the skier momentarily comes to rest:</u>

$\Delta x=\frac{F}{k}$

$\Delta x=\frac{686}{2800}$

$\Delta x=0.245\ m$

$\Delta x=245\ mm$

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3 years ago

Which statement correctly compares weight and mass?

Varvara68 [4.7K]

Answer:

Option D. Weight varies with location, but mass does not.

Explanation:

To know which option is correct, it is important that we have a background knowledge of mass and weight.

A brief summary of the difference between mass and weight is given below:

1. Mass is the quantity of matter present in an object while weight is the gravitational pull on an object.

2. The SI unit of mass is kilogram Kg) while that of weight is Newton (N)

3. Mass is constant while weight varies by location.

4. Mass can measured using a chemical balance or beam balance while weight can be measured using a lever or spring balance.

With the above information, we can see that mass of an object is always but the weight varies by location.

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