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sashaice [31]
2 years ago
7

You and your brother argue often about how to safely secure a toddler in a moving car. You insist that special toddler seats are

critical in improving the chances of a toddler surviving a crash. Your brother claims that, as long as his wife is buckled in next to him with a seat belt while he drives, she can hold onto their toddler on her lap in a crash. You decide to perform a calculation to try to convince your brother. Consider a hypothetical collision in which the 13 kg toddler and his parents are riding in a car traveling at 37 mi/h relative to the ground. The car strikes a wall, tree, or another car, and is brought to rest in 0.14 as. You wish to demonstrate to your brother the magnitude of the force necessary for his wife to hold onto their child during the collision. What is the magnitude of this force (in N)
Physics
1 answer:
sergey [27]2 years ago
5 0

Answer:

Force F = 1535.86 N

the force necessary for his wife to hold onto their child during the collision is 1535.86 N

Explanation:

Given;

Mass of toddler m = 13 kg

Velocity v = 37 mi/h = 37 × 0.44704 m/s = 16.54 m/s

Impulse time t = 0.14 seconds

Using the impulse momentum equation,

Impulse = change in momentum

Ft = m(∆v)

Force F = m(∆v)/t

∆v = 16.54 m/s

F = 13×16.54/0.14

Force F = 1535.86 N

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Which best describes nuclear fusion?
MrMuchimi

Answer:

The statement that best describes nuclear fusion is;

Nuclei combine to form a heavier nucleus, releasing energy

Explanation:

In nuclear fusion, we have the reaction of the nuclei of two or more atoms coming together (combining) to form heavier elements and subatomic particles such as protons and neutrons accompanied by the release or absorption in energy depending on the difference between the mass of the reactants and the products

Some nuclear fusion reaction require an input of energy and such reactions are therefore not spontaneous

The best option is nuclei (two or more nuclei) combine to form a heavier nucleus, releasing energy.

5 0
2 years ago
Read 2 more answers
Which of the following are scalar quantities? select all that apply
dolphi86 [110]

Answer:

1, 4, 5, see the explanation below

Explanation:

We must remember that scalar magnitudes are distinguished by having only a physical quantity, that is, they have no sense or direction as an example of scalar quantities, we find mass, temperature, energy, specific heat, power among others.

1 . 150 [grams] , because is a mass =  scalar

4. 5 kilometer [race], is an amount = scalar

5. 34 steps, is an amount = scalar

Number 2, and 3 are vectors because they have amount and direction.

3 0
2 years ago
A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved
MariettaO [177]

Answer:

4.17 m/s

Explanation:

To solve this problem, let's start by analyzing the vertical motion of the pea.

The initial vertical velocity of the pea is

u_y = u sin \theta = (7.39)(sin 69.0^{\circ})=6.90 m/s

Now we can solve the problem by applying the suvat equation:

v_y^2-u_y^2=2as

where

v_y is the vertical velocity when the pea hits the ceiling

a=g=-9.8 m/s^2 is the acceleration of gravity

s = 1.90 is the distance from the ceiling

Solving for v_y,

v_y = \sqrt{u_y^2+2as}=\sqrt{(6.90)^2+2(-9.8)(1.90)}=3.22 m/s

Instead, the horizontal velocity remains constant during the whole motion, and it is given by

v_x = u cos \theta = (7.39)(cos 69.0^{\circ})=2.65 m/s

Therefore, the speed of the pea when it hits the ceiling is

v=\sqrt{v_x^2+v_y^2}=\sqrt{2.65^2+3.22^2}=4.17 m/s

5 0
2 years ago
A charge of 87.6 pC is uniformly distributed on the surface of a thin sheet of insulating material that has a total area of 65.2
LiRa [457]

Answer:

60.8 cm²

Explanation:

The charge density, σ on the surface is σ = Q/A where q = charge = 87.6 pC = 87.6 × 10⁻¹² C and A = area = 65.2 cm² = 65.2 × 10⁻⁴ m².

σ = Q/A = 87.6 × 10⁻¹² C/65.2 × 10⁻⁴ m² = 1.34 × 10⁻⁸ C/m²

Now, the charge through the Gaussian surface is q = σA' where A' is the charge in the Gaussian surface.

Since the flux, Ф = 9.20 Nm²/C and Ф = q/ε₀ for a closed Gaussian surface

So, q = ε₀Ф = σA'

ε₀Ф = σA'

making A' the area of the Gaussian surface the subject of the formula, we have

A' = ε₀Ф/σ

A' = 8.854 × 10⁻¹² F/m × 9.20 Nm²/C ÷ 1.34 × 10⁻⁸ C/m²

A' = 81.4568/1.34 × 10⁻⁴ m²

A' = 60.79 × 10⁻⁴ m²

A' ≅ 60.8 cm²

6 0
2 years ago
When kicking a football, the kicker rotates his leg about the hip joint. (a) If the velocity of the tip of the kicker’s shoe is
Maurinko [17]

Answer:

Part a)

\omega = 33.33 rad/s

Part b)

F = 500 N

Part c)

R_{max} = 40.8 m

Explanation:

Part a)

As we know that the velocity of the tip of the kicker's shoe is given as

v = 35 m/s

also the length of the tip of the shoe from his hip joint is given as

L = 1.05 m

now the angular speed is given as

\omega = \frac{v}{L}

\omega = \frac{35}{1.05}

\omega = 33.33 rad/s

Part b)

As we know that force on the ball is given as rate of change in momentum of the ball

so it is given as

F = \frac{\Delta P}{\Delta t}

so we have

F = \frac{m(v_f - v_i)}{\Delta t}

F = \frac{0.500(20 - 0)}{20 \times 10^{-3}}

F = 500 N

Part c)

As we know that the formula of range is given as

R = \frac{v^2 sin(2\theta)}{g}

now for maximum range we know

\theta = 45 degree

R_{max} = \frac{v^2}{g}

R_{max} = \frac{20^2}{9.8}

R_{max} = 40.8 m

6 0
2 years ago
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