Complete this sentence. The solubility of a sample will ___________

A stunt driver wants to make his car jump over 8 cars parked side by side below a horizontal ramp.

Genrish500 [490]

<u>Answer:</u>

a) Minimum speed must he drive off the horizontal ramp = 39.78 m/s

b) Minimum speed must he drive off the horizontal ramp with 7° above the horizontal = 23.93 m/s

<u>Explanation:</u>

a) The height of ramp = 1.5 meter

Horizontal distance he must clear = 22 meter

The car is having horizontal motion and vertical motion. In case of vertical motion the acceleration on the car is acceleration due to gravity.

We have equation of motion, $s= ut+\frac{1}{2} at^2$ , s is the displacement, u is the initial velocity, a is the acceleration and t is the time.

In case of vertical motion initial velocity = 0 m/s, acceleration = 9.8 $m/s^2$ , we need to calculate time when displacement = 1.5 meter.

$1.5=0*t+\frac{1}{2} *9.8*t^2\\ \\ t = 0.553 seconds$

So the car has to cover a distance of 22 meter in 2.119 seconds.

So minimum speed required = 22/0.553 = 39.78 m/s

Minimum speed must he drive off the horizontal ramp = 39.78 m/s

b) When the take of angle is 7⁰ the vertical speed of car is not zero = V sin 7 = 0.122 V

So the in case of vertical motion we have initial velocity = 0.122 V, S = -1.5 meter( below ramp), acceleration = -9.8 $m/s^2$

Substituting

$-1.5=0.122V*t-\frac{1}{2} *9.8*t^2\\ \\ 4.9t^2-0.122Vt-1.5=0$

In case of horizontal motion

Horizontal speed of car = V cos 7 = 0.993V

So it has to travel 22 meter in t seconds

0.993Vt = 22, Vt = 22.155 m

Substituting in the equation $4.9t^2-0.122Vt-1.5=0$

We will get $4.9t^2-0.122*22.155-1.5=0\\ \\ t = 0.926 seconds$

Speed required = 22.155/0.926 = 23.93 m/s

Minimum speed must he drive off the horizontal ramp with 7° above the horizontal = 23.93 m/s

7 0

4 years ago

As an object increases or decreases, what happens to the total energy?

kompoz [17]

Answer:As an object speeds up, the total energy increases / decreases / remains the same. As an object slows down, the total energy increases / decreases / remains the same.

Explanation:

7 0

3 years ago

Please help will give branliest

USPshnik [31]

Nabr is the answer bcoz in a chemical reaction reactants react to form new substances and according to your options NaBr should be the answer

6 0

3 years ago

Which person below is experiencing a delusion?

Yakvenalex [24]

Answer: D Demetrius who sees distortions and colors when he looks at a face.

Explanation:

3 0

3 years ago

Read 2 more answers

A 110 kg football player running with a velocity of 5.0 m/s hits another stationary football

KengaRu [80]

Answer:

The final velocity of the second player is 6.1 m/s.

Explanation:

The final velocity of the second player can be calculated by conservation of linear momentum (p):

$p_{i} = p_{f}$

$m_{a}v_{a_{i}} + m_{b}v_{b_{i}} = m_{a}v_{a_{f}} + m_{b}v_{b_{f}}$ (1)

Where:

$m_{a}$ : is the mass of the first football player = 110 kg

$m_{b}$ : is the mass of the second football player = 90 kg

$v_{a_{i}}$ : is the initial velocity of the first football player = 5.0 m/s

$v_{b_{i}}$ : is the initial velocity of the second football player = 0 (he is at rest)

$v_{a_{f}}$ : is the final velocity of the first football player = 0 (he stops after the impact)

$v_{b_{f}}$ : is the final velocity of the second football player =?

By solving equation (1) for $v_{b_{f}}$ we have:

$110 kg*5.0 m/s + 0 = 0 + 90 kg*v_{b_{f}}$

$v_{b_{f}} = \frac{110 kg*5.0 m/s}{90 kg} = 6.1 m/s$

Therefore, the final velocity of the second player is 6.1 m/s.

I hope it helps you!

8 0

3 years ago

Complete this sentence. The solubility of a sample will ____________ when the size of the sample increases.