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katrin [286]
2 years ago
9

A rock is thrown at a window that is located 18.0 m above the ground. The rock is thrown at an angle of 40.0° above horizontal.

The rock is thrown from a height of 2.00 m above the ground with a speed of 30.0 m/s and experiences no appreciable air resistance. If the rock strikes the window on its upward trajectory, from what horizontal distance from the window was it released?
A. 29.8 m
B. 27.3 m
C. 48.7 m
D. 71.6 m
E. 53.2 m
Physics
1 answer:
elixir [45]2 years ago
6 0

To solve the problem it is necessary to apply the kinematic equations of linear descriptive motion. With the components of speed we can find both time and distance that separates them. The two components given are:

v_x = 30cos40\°

v_y = 30sin40\°

Applying the vertical displacement equation we have to

y = \frac{1}{2}at^2 +v_yt +y_1

Replacing we have,

18= \frac{1}{2}(-9.81)t^2+30sin40t+2

Solving for t,

t = 1.189s

Through the horizontal component we can find the displacement which is given as,

d = v_x (t)

d = 30 cos40 (1.189)

d = 27.324m

Therefore the correct answer is B.

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3 0
2 years ago
How much heat has to be added to 508 g of copper at 22.3°C to raise the temperature of the copper to 49.8°C? (The specific heat
viva [34]

Answer:

Q = 5267J

Explanation:

Specific heat capacity of copper (S) = 0.377 J/g·°C.

Q = MSΔT

ΔT = T2 - T1

ΔT=49.8 - 22.3 = 27.5C

Q = change in energy = ?

M = mass of substance =508g

Q = (508g) * (0.377 J/g·°C) * (27.5C)

Q= 5266.69J

Approximately, Q = 5267J

8 0
3 years ago
A hot cube of iron was heated up using 1500 J of thermal energy and was placed in a beaker of water. Before it was heated, the i
Mariana [72]

Answer:

451.13 J/kg.°C

Explanation:

Applying,

Q = cm(t₂-t₁)............... Equation 1

Where Q = Heat, c = specific heat capacity of iron, m = mass of iron, t₂= Final temperature, t₁ = initial temperature.

Make c the subject of the equation

c = Q/m(t₂-t₁).............. Equation 2

From the question,

Given: Q = 1500 J, m = 133 g = 0.113 kg, t₁ = 20 °C, t₂ = 45 °C

Substitute these values into equation 2

c = 1500/[0.133(45-20)]

c = 1500/(0.133×25)

c = 1500/3.325

c = 451.13 J/kg.°C

4 0
3 years ago
Four people are spaced at different distances from where a dog is barking. The barking will sound the loudest to the person who
Volgvan

Answer:

Closest to the dog.

Explanation:

Sounds are louder the closer you are to them.

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Showing results for a 4 olm and 8 ohm resistor are connected in series. The current through the 4 olm resistor is 2 amps. What i
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Answer:

Let R1= resistance of 4ohms

R2= resistance of 8ohms

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The current through the two resistors will be the same since they are connected in series. Notwithstanding, the voltage will drop to appreciate the change.

Explanation:

7 0
3 years ago
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