Convert 98.34 kg/m^3 to g/cm^3

A toy cannon uses a spring to project a 5.30-g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force

Gwar [14]

Answer:

Shown below;

Explanation:

From Newton's third law action and reaction.

Hence the force initiated by the spring is defined as;

F= K×E ; K- spring constant

E- distance moved by the spring.

F = 8.0 × 0.05= 0.4N; 0.05 m = 5cm.

The Canon would move out the gun with a speed of the net force.

The net force = 0.05 -0.032= 0.018N

This force = mass × velocity/ time

= mass × distance /time^2

0.018 =0.0053×0.15/t^2

t^2 = 0.0053×0.15/0.018=0.0442s

t=√0.0442=0.21

Velocity = distance/time

=0.15/0.21=0.71m/s

B. it sustains Maximum speed when it reaches there ground.

C. We assume the gun leaves at 45° to get the maximum distance which is the maximum height.

H = u^2sin2A/2g

= 0.71^2 sin 2×45/ 2×9.8

=0.5041/18.6=0.0271m

From Newton's law

V2 =u2+2gh

V2 = 0.71^2 + 2×9.8×0.0271

= 0.5041 + 0.53116

V=√1.03526=1.0175 = 1.02m/s

5 0

3 years ago

6. A 1500 MΩ resistor is placed across the terminals of a battery, and a terminal voltage of 2.50 V is measured. When this resis

Svetradugi [14.3K]

Answer:

The terminal voltage is 1.916 V.

Explanation:

Given that,

Resistance = 1500 MΩ

Voltage V= 2.50 V

Decrease voltage V' = 1.75 V

Here, The resistance is very high so the current will be zero in the terminal.

So, the potential difference will be equal to the emf.

$V=2.50 = emf$

Let the internal resistance is r ohm.

We need to calculate the potential difference across internal resistance

Using formula of for potential difference

$V_{r}=V-V'$

Put the value into the formula

$V_{r}=2.50-1.75$

$V_{r}=0.75\ V$

We need to calculate the circuit current

Using formula of current

$i=\dfrac{V}{R}$

Put the value into the formula

$i=\dfrac{1.75}{5.00}$

$i=0.35\ A$

We need to calculate the internal resistance

Using formula of internal resistance

$r=\dfrac{V_{r}}{i}$

Put the value into thew formula

$r=\dfrac{0.75}{0.35}$

$r=2.14\ ohm$

We need to calculate the current

Using formula of current

$i=\dfrac{emf}{r+R}$

Put the value into the formula

$i=\dfrac{2.50}{2.14+7.00}$

$i=0.273\ A$

We need to calculate the potential difference

Using formula of voltage

$V_{r}=ir$

Put the value into the formula

$V_{r}=0.273\times2.14$

$V_{r}=0.584\ V$

We need to calculate the terminal voltage

Using formula of terminal voltage

$\text{terminal voltage}=emf-V_{r}$

Put the value into the formula

$\text{terminal voltage}=2.50-0.584$

$\text{terminal voltage}=1.916\ V$

Hence, The terminal voltage is 1.916 V.

6 0

3 years ago

If a 70-kg swimmer pushed off a pool wall with a force of 250 N, at wha rate will the swimmer accelerate from the wall

Kitty [74]

Force = mass x acceleration

Here we have mass and a force so we are solving for acceleration:

Isolate for acceleration in the equation

Force / mass = acceleration

Fill in the equation:

250 / 70 = acceleration

Acceleration = 3.57 m/s^2

4 0

3 years ago

A body of mass 30 kg moving north a velocity of 0.5 ms-1 subjected of 15 N North for 2.7 s.

Ahat [919]

Question: a body of mass 30 kg moving north a velocity of 0.5 ms-1 subjected of 15 N North for 2.7 s. Calculate the final velocity of the body.

Answer:

14 m/s

Explanation:

From the question,

F = ma......................... Equation 1

make a the subject of the equation

a = F/m....................... Equation 2

Given: F = 15 N, m = 30 kg.

Substitute these values into equation 2

a = 15/3

a = 5 m/s².

Using,

a = (v-u)/t.................... Equation 3

Where v = final velocity, u = initial velocity, t = time.

Given: u = 0.5 m/s, t = 2.7 s and a = 5 m/s²

Substitute these values into equation 3

5 = (v-0.5)/2.7

(v-0.5) = 5×2.7

v-0.5 = 13.5

v = 13.5+0.5

v = 14 m/s

3 0

3 years ago

The model above shows sunlight that is directly hitting one side of the earth during its winter season. Which sentence explains

gregori [183]

Answer:

During winter time the northern hemisphere leans away from the sun due to the rotation of earth and due to this change the sunlight is not direct on these areas instead it is spread and due to this the shadows are longer and the sunlight is not intense. The earths rotation around the sun causes the seasons to change and that is why we experience shorter hours of daytime.

Explanation:

During winter time the northern hemisphere leans away from the sun due to the rotation of earth and due to this change the sunlight is not direct on these areas instead it is spread and due to this the shadows are longer and the sunlight is not intense. The earths rotation around the sun causes the seasons to change and that is why we experience shorter hours of daytime.

7 0

3 years ago