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skelet666 [1.2K]
3 years ago
10

A toy projectile is fired vertically from the ground upward with a velocity of +29 meters per second. It arrives at its maximum

altitude in 3.0 seconds. How high does the projectile go?
Physics
1 answer:
kaheart [24]3 years ago
8 0

Answer:

\boxed{\text{\sf \Large 42 m}}

Explanation:

Use height formula

\displaystyle \sf  H=\frac{u^2 sin(\theta)^2}{2g}

u is initial velocity

θ = 90° (fired vertically upward)

g is acceleration of gravity

\displaystyle \sf  H=\frac{29^2 \times sin(90 )^2}{2 \times 10}=42.05

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In the Daytona 500 auto race, a Ford Thunderbird and a Mercedes Benz are moving side by side down a straightaway at 78.5 m/s. Th
Andrews [41]

Answer:

FT is 1020.6 meters (1640.6 meters - 620 meters) far from MB

Explanation:

First you have to consider that the Ford Thunderbird (FT) follows a rectilinear motion with varying acceleration, while Mercedez Benz (MB) has a constant velocity (no acceleration). So if you finde the time spent by FT in each section, and the distance, then you will find the distance for MB.

1) Vf² = Vi² + 2ad, where Vf: final velocity, Vi: ionitial velocity, a: acceleration and d: distance.

For the first portion  (0 m/s)² = (78.5 m/s)² + 2a(250 m) ⇒

-(78.5 m/s)² / 2(250m) = a ⇒ a = -12.3 m/s².

Now, you can find the corresponding time for this section with the following formule: Vf = Vi + at ⇒ 0 m/s = 78.5 m/s + (-12.3 m/s²) t

⇒ t= (-78.5 m/s)/ (-12.3 m/s²) ⇒ t= 6.4 seconds.

2) Then FT spent 5 seconds in the pit.

3) The the FT accelerates until reach 78.5 m/s again in a distance of 370 m.

Vf² = Vi² + 2ad ⇒ (78.5 m/s)² = (0 m/s)² + 2a(370 m)

⇒ (78.5 m/s)²/ 2(370 m) = a ⇒ a = 8.3 m/s²

Then, Vf = Vi + at ⇒ 78.5 m/s = 0 m/2 + (8.3 m/s²) t

⇒ (78.5 m/s)/(8.3 m/s²) = t ⇒ t = 9.5 seconds.

4) Summarizing, the FT moves 620 meters (250 + 370 mts) in 20.9 seconds ( 6.4 s + 5 s + 9.5 s).

5) During this time, MB moves

Velocity = distance/ time ⇒ Velocity x time = Distance

⇒ Distance = (78.5 m/s) x  (20.9 seconds) ⇒ Distance = 1640.6 meters

6) Finally, the FT is 1020.6 meters (1640.6 meters - 620 meters) far from MB

3 0
3 years ago
What does overloading your muscles accomplish​
alex41 [277]

Answer:

Overloading the muscles causes them to get stronger and grow larger.

5 0
3 years ago
An Earth satellite is in a circular orbit at an altitude of 500 km.
Dafna1 [17]

Answer:

Speed Unchanged.

Explanation:

As work is defined as a product of force over a distance. If the distance in altitude is constant = 500km, there's 0 change in distance and force, no work would be done by the gravitational force.

Since potential energy of the satellite is unchanged, unless there's additional internal energy source, the kinetic energy would remain unchanged, so would its speed.

8 0
3 years ago
In positron-emission tomography (PET) used in medical research and diagnosis, compounds containing unstable nuclei that emit pos
arlik [135]

Answer:

Energy of gamma ray = 506250 eV

Explanation:

We are told that the mass of an electron or positron is 9 × 10-31 kg.

This means that their energies will be the same.

Thus; E_e = E_p

Now, since electron and positron annihilate to form gamma(γ) particle, then using work energy principle, we have;

E_γ + E_γ = E_e + E_p

Thus;

2E_γ = E_e + E_p

Since E_e = E_p, we now have;

2E_γ = 2E_e

Thus;

E_γ = E_e

Since all the energy of the electron is converted, then from Einstein's relativity theory, this implies that;

E_e = mc²

c is speed of light = 3 × 10^(8) m/s

And m is given as 9 × 10^(-31) kg

Thus;

E_e = 9 × 10^(-31) × (3 × 10^(8))^(2)

E_e = 810 × 10^(-16) J

Since E_γ = E_e

Thus;

E_γ = 810 × 10^(-16) J

We are given that; 1.6 × 10^(-19) J = 1eV

Thus; 810 × 10^(-16) J gives;

(810 × 10^(-16) × 1)/(1.6 × 10^(-19)) = 506250 eV

7 0
3 years ago
As you contract your muscle, which of the following events is occurring? All the kinetic energy is converted to potential energy
Assoli18 [71]

Answer:

All the potential energy is converted to kinetic energy

Explanation:

As you contract your muscle, the energy stored within the fibers and cells of the static, relaxed muscle (this is potential energy) is converted into motion when the fibers are contacted. This motion corresponds to a kinetic energy.

The last two options can be discarded as follows:

-Energy can not be created nor destroyed. It can only be transformed.

-Heat is generated in most of the biochemical processes of the body. However, the heat release is not instantaneous and there are several other complex factors and phenomenae to consider. So, in accordance to the scope of this question, there is energy conservation and therefore all the energy is transformed from potential to kinetic, with no consideration of energy loss to the surroundings.

6 0
3 years ago
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