Answer:
The volume of water is 139 mL.
Explanation:
Due to the Law of conservation of energy, the heat lost by coffee is equal to the heat gained by the water, that is, the sum of heats is equal to zero.
The heat (Q) can be calculated using the following expression:
where,
c is the specific heat of each substance
m is the mass of each substance
ΔT is the difference in temperature for each substance
The mass of coffee is:
Then,
The volume of water is:
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The answer above is correct.
Gamma rays are primarily used in the medical field to kill cancer cells and examine the body's internal structures.
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The focal length will be = 2.67 cm
The distance between the convex lens or a concave mirror and the focal point of a lens or mirror is called the focal length. It is the point where parallel rays of light meet or converge.
given
u (object distance) = 260 cm
v (image distance) = 2.70 cm
f (focal length) = ?
using lens formula
1/f = 1/u + 1/v
= 1/260 + 1/2.70
= 2.67 cm
The focal length will be = 2.67 cm
To learn more about focal length here
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Answer:
a) Suzie’s average acceleration = -6.46 m/s²
b) Force exerted to stop Suzie = 271.52 N
Explanation:
a) We have equation of motion, v = u + at
Final velocity, v = 0 m/s
Initial velocity, u = 32 mph = 14.22 m/s
Time, t =2.2 s
Substituting
0 = 14.22 + a x 2.2
a = -6.46 m/s²
Suzie’s average acceleration = -6.46 m/s²
b) Mass of Suzie = 42 kg
Force = Mass x Acceleration
F = Ma
F = 42 x -6.46 =-271.52 N
Force exerted to stop Suzie = 271.52 N
Answer:
185 N
Explanation:
Sum of forces in the x direction:
Fₓ = -(80 N cos 75°) + (120 N cos 60°)
Fₓ = 39.3 N
Sum of forces in the y direction:
Fᵧ = (80 N sin 75°) + (120 N sin 60°)
Fᵧ = 181.2 N
The magnitude of the net force is:
F = √(Fₓ² + Fᵧ²)
F = √((39.3 N)² + (181.2 N)²)
F = 185 N
