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masha68 [24]
3 years ago
8

a missile is moving 1810 m/s at a 20.0 degree angle. it needs to hit a target 19,500 m away in a 32.0 degree direction in 9.20 s

. what is the acceleration that the engine must produce
Physics
1 answer:
Ket [755]3 years ago
5 0

Answer:

112 m/s², 79.1°

Explanation:

In the x direction, given:

x₀ = 0 m

x = 19,500 cos 32.0° m

v₀ = 1810 cos 20.0° m/s

t = 9.20 s

Find: a

x = x₀ + v₀ t + ½ at²

19,500 cos 32.0° = 0 + (1810 cos 20.0°) (9.20) + ½ a (9.20)²

a = 21.01 m/s²

In the y direction, given:

y₀ = 0 m

y = 19,500 sin 32.0° m

v₀ = 1810 sin 20.0° m/s

t = 9.20 s

Find: a

y = y₀ + v₀ t + ½ at²

19,500 sin 32.0° = 0 + (1810 sin 20.0°) (9.20) + ½ a (9.20)²

a = 109.6 m/s²

The magnitude of the acceleration is:

a² = ax² + ay²

a² = (21.01)² + (109.6)²

a = 112 m/s²

And the direction is:

θ = atan(ay / ax)

θ = atan(109.6 / 21.01)

θ = 79.1°

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Lemur [1.5K]

Answer:

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I'm pretty sure I'm right, but please correct me if I'm wrong! :)

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3 years ago
The car has a maximum acceleration of 4m/s2 . The car’s mass is 1,250 Kg what is the car max speed?
marusya05 [52]
The net force acting on the car is
3 × 10^3
Newtons.
Force is defined as the product of the mass of the body and its aaceleration,
⇒ F = ma

Substituting the above given values we get,
F =(1500kg) (2.0 m/s^2) = 3000N = 3 × 10^3N .
3 0
2 years ago
A Geiger counter registers a count rate of 8,000 counts per minute from a sample of a radioisotope. The count rate 24 minutes la
zmey [24]

11.54 minutes

Explanation:

The decay rate equation is given by

N = N_0e^{-\frac{t}{\lambda}}

where \lambda is the half-life. We can rewrite this as

\dfrac{N}{N_0} = e^{-\frac{t}{\lambda}}

Taking the natural logarithm of both sides, we get

\ln \left(\dfrac{N}{N_0}\right) = -\left(\dfrac{t}{\lambda}\right)

Solving for \lambda,

\lambda = -\dfrac{t}{\ln \left(\frac{N}{N_0}\right)}

\:\:\:\:= -\dfrac{(24\:\text{minutes})}{\ln \left(\frac{1000\:\text{counts/min}}{8000\:\text{counts/min}}\right)}

\:\:\:\:=11.54\:\text{minutes}

4 0
2 years ago
Which metal would cause the greatest increase in the temperature of the water in the calorimeter: the one with the highest speci
masha68 [24]
<h3><u>Answer;</u></h3>

the one with the highest specific heat

<h3><u>Explanation;</u></h3>
  • The specific heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.
  • The specific heat of water is 1 calorie/gram °C or 4.186 joule/gram °C which is higher than any other common substance.
  • <em><u>A metal with the highest specific heat will cause the greatest increase in temperature of water in a calorimeter because the metal would hold more heat, and then transfer the greater quantity of heat to the water.</u></em>
4 0
3 years ago
If Joe rides his bike for 15 minutes at 20 km/hour south, how far has he ridden? (Give the answer in km) Watch the units!
Virty [35]

Answer:

Distance covered by Joe, d = 5 km

Explanation:

It is given that,

Speed of Joe, v = 20 km/hour

Time taken by Joe, t = 15 minutes = 0.25 h

We need to find the distance he is covering. It can be calculated using definition of speed as :

v=\dfrac{d}{t}

d=v\times t

d=20\times 0.25

d = 5 km

So, Joe covers a distance of 5 km. Hence, this is the required solution.

3 0
3 years ago
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