Question
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Darko se kliže po ledu na čeličnim klizaljkama. Izračunajte silu trenja ako je Darkova masa \( m=42 \mathrm{~kg} \), a faktor trenja pri klizanju čelika na ledu \( \mu=0,015 \).

Ask by Sandoval Morrison. in Croatia
Feb 04,2025

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Answer

Silu trenja izračunat 6,18 N.

Solution

Da bismo izračunali silu trenja (\( F_t \)) pri klizanju Darka po ledu na čeličnim klizaljkama, koristimo sljedeću formulu: \[ F_t = \mu \times N \] gdje je: - \( \mu \) koeficijent trenja, - \( N \) norma sila (u ovom slučaju, sila težine). Prvo izračunajmo silu težine (\( N \)): \[ N = m \times g \] gdje je: - \( m = 42 \, \text{kg} \) (masa Darka), - \( g = 9{,}81 \, \text{m/s}^2 \) (prihvaćeno ubrzanje zbog gravitacije). \[ N = 42 \, \text{kg} \times 9{,}81 \, \text{m/s}^2 = 412{,}02 \, \text{N} \] Sada možemo izračunati silu trenja: \[ F_t = \mu \times N = 0{,}015 \times 412{,}02 \, \text{N} \approx 6{,}18 \, \text{N} \] **Dakle, sila trenja je približno 6,18 N.**

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Sila trenja može se izračunati pomoću formule: \( F_{tr} = \mu \cdot F_{N} \). Gdje je \( F_{N} \) normalna sila, koja se u ovom slučaju izjednačava sa težinom Darka, \( F_{N} = m \cdot g \) (gde je \( g \) gravitaciona akceleracija, otprilike \( 9,81 \, \text{m/s}^2 \)). Dakle, \( F_{N} = 42 \, \text{kg} \cdot 9,81 \, \text{m/s}^2 = 413,82 \, \text{N} \). Sada možemo izračunati silu trenja: \( F_{tr} = 0,015 \cdot 413,82 \, \text{N} \approx 6,21 \, \text{N} \). Dakle, sila trenja koja deluje na Darka dok se kliže po ledu iznosi otprilike \( 6,21 \, \text{N} \).

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